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The assumption that anything true is knowable is the grandfather of paradoxes.

William Poundstone

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William Poundstone
Age: 69
Born: 1955
Born: March 29
Author
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True
Anything
Knowable
Paradoxes
Paradox
Grandfather
Assumption

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There were many at Bell Labs and MIT who compared Shannon's insight to Einstein's. Others found that comparison unfair - unfair to Shannon.
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The more improbable the message, the less compressible it is, and the more bandwidth it requires. This is Shannon's point: the essence is its improbability.
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Shannon's most radical insight was that meaning was irrelevant.
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There is a deep connection between Bernoulli's dictum and John Kelly's 1956 publication. It turns out that Kelly's prescription can be restated as this simple rule: When faced with a choice of wagers or investments, choose the one with the highest geometric means of outcomes.
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The engine driving the Kelly system is the law of large numbers. In a 1713 treatise on probability, Swiss mathematician Jakob Bernoulli propounded a law that has been misunderstood by gamblers (and investors) ever since.
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A bit is worth 10,000 basis points.
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Carl Friedrich Gauss, often rated the greatest mathematician of all time, played the market. On a salary of 1,000 thalers a year, Euler left an estate of 170,587 thalers in cash and securities. Nothing is known of Gauss's investment methods.
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Paradox is thus a much deeper and universal concept than the ancients would have dreamed. Rather than an oddity, it is a mainstay of the philosophy of science.
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The ultimate compound return rate is acutely sensitive to fat tails.
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Use entropy and you can never lose a debate, von Neumann told Shannon - because no one really knows what entropy is.
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The best paradoxes raise questions about what kinds of contradictions can occur-what species of impossibilities are possible.
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The story of the Kelly system is a story of secrets - or if you prefer, a story of entropy.
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The best strategy is one that offers the highest compound return consistent with no risk of going broke.
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Samuelson, however, hedged his personal bets - by putting some of his own money in Berkshire Hathaway.
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Expectation is a statistical fiction, like having 2.5 children.
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People tend to be clueless about prices. Contrary to economic theory, we don't really decide between A and B by consulting our invisible price tags and purchasing the one that yields the higher utility, he says. We make do with guesstimates and a vague recollection of what things are “supposed to cost.”
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In real conversations, we are always trying to outguess each other.
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Samuelson spotted a mistake in Bacheliers work. Bachelier's model had failed to consider that stock prices cannot fall below zero.
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Your second ducat, like your second million, is never quite as sweet.
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